Vector Calculus II Concepts with Examples by Prof. Somesh Kr. Malhotra

Explore advanced topics in vector calculus including gradient, divergence, curl, and theorems like the Divergence Theorem and Stokes' Theorem. Follow along with examples presented in Cartesian, spherical, and cylindrical coordinates to deepen your understanding of vector calculus concepts.

• Vector Calculus
• Examples
• Prof. Malhotra
• Advanced Concepts
• Coordinate Systems

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Uploaded on Oct 05, 2024 | 0 Views

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Presentation Transcript

1. VECTOR CALCULUS-II Er.Somesh Kr Malhotra Assistant Professor ECE Department,UIET

2. DEL OPERATOR in spherical coordinates

3. GRADIENT For Cartesian coordinates

4. GRADIENT

5. EXAMPLE1

6. EXAMPLE 2

7. DIVERGENCE where v is the volume enclosed by the closed surface S in which P is located.

8. DIVERGENCE In cylindrical coordinates In spherical coordinates

9. DIVERGENCE

10. DIVERGENCETHEOREM

11. EXAMPLE 2

12. EXAMPLE 2

13. EXAMPLE 3

14. EXAMPLE 3

15. EXAMPLE 3

16. EXAMPLE 3

17. CURL

18. CURL

19. CURL

20. CURL

21. CURL

22. STOKESTHEOREM

23. STOKESTHEOREM

24. EXAMPLE 4

25. EXAMPLE 4

26. EXAMPLE 5

27. EXAMPLE 5

28. EXAMPLE 5

29. EXAMPLE 5